Classical-Quantum Correspondence and Hawking Radiation

Abstract

A recently discovered classical-quantum correspondence (CQC) maps certain quantum problems to corresponding classical problems. We illustrate the CQC for a quantum scalar field in the gravitational background of a collapsing spherical shell. By truncating the problem to a small set of variables, we show how the CQC can yield Hawking radiation as well as the slow down of the collapse due to radiation backreaction.

13 pages, 5 figures. Title changed. Published version

References in corpus (4)

• Observation of Incipient Black Holes and the Information Loss Problem
• Backreaction of Hawking Radiation on a Gravitationally Collapsing Star I: Black Holes?
• A Classical-Quantum Correspondence and Backreaction
• Quantum Backreaction on Classical Dynamics

Cited by in corpus (13)

• Classical-Quantum Correspondence for Fields
• Quantum Evaporation of Classical Breathers
• Rolling with quantum fields
• Resonance structures in kink-antikink scattering in a quantum vacuum
• Gravitational collapse of quantum fields and Choptuik scaling
• Gravitational collapse with quantum fields
• Semiclassical gravitational collapse of a radially symmetric massless scalar quantum field
• Quasiclassical model of inhomogeneous cosmology
• Quasiclassical solutions for static quantum black holes
• Creating kinks with quantum mediation
• Inflationary quantum dynamics and backreaction using a classical-quantum correspondence
• Effective dynamics of quantum fluctuations in field theory: with applications to cosmology
• Quantum fields in boson star spacetime